On current trends, higher CO2 concentrations could reduce iron, zinc and protein levels in the crops that feed the world by up to 17 percent by mid-century, they reported in the journal Nature Climate Change.
"Hundreds of millions of people could become newly deficient in these nutrients, primarily in Africa, Southeast Asia, India and the Middle East," lead author Matthew Smith, a researcher at the Harvard TH Chan School of Public Health, said.
"These are in addition to the billions of people already deficient that could see their condition worsen."
Protein, along with the minerals iron and zinc, are essential nutrients for normal human growth and development.
Zinc deficiency affects the immune system and makes children, particularly, more vulnerable to malaria, lung infections and deadly diarrhoeal diseases.
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A lack of iron increases the likelihood of mothers dying during childbirth, can lower IQ, and causes anaemia, or a drop in red blood cells.
Wheat, rice and maize together account for roughly 40 percent of protein, zinc and iron supply in the diet worldwide.
In general, humans get three-fifths of dietary protein, four-fifths of iron, and 70 percent of zinc requirements from plants.
The global food system is also vulnerable to rising temperatures, prolonged drought, and other forms of extreme weather driven by climate change, earlier research has shown. Impacts include reduced crop yields, heat-stressed livestock, and shifts in the quantity and location of commercially-fished ocean species.
To assess how extra CO2 in the atmosphere might impact global health by 2050, Smith and colleague Samuel Myers ran models for 225 different food plants grown in 151 countries.
If humanity continues emitting greenhouse gases from burning coal, oil, and natural gas at current levels, the concentration of carbon dioxide in the atmosphere is likely to reach 550 parts per million (ppm) by 2050.
It is now at just over 400 ppm.
The team found that nearly two percent of the global population an extra 175 million people could become zinc deficient, and 122 million would no longer get enough protein under those conditions.
Some 1.4 billion women and children under five would probably find their iron intake reduced by four percent or more. Half-a-billion in this group risk developing iron deficiency-related disease.
India would be hardest hit, with some 50 million people suffering a lack of zinc, and 38 million falling short of minimum protein requirements, said the team.
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The numbers of affected people would also go up dramatically in China, Indonesia, Bangladesh, Brazil, Kenya and other emerging or developing economies.
"Supplements could temporarily alleviate some of the health consequences, but they are not a viable long-term solution," said Smith.
Because they are difficult to distribute and do not address the underlying cause of malnutrition, vitamins and supplements "should best be seen as a short-term medical intervention," he added.
More than two billion people worldwide are deficient in one or more nutrient, according the World Health Organisation (WHO).
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